Plot of response of a damped oscillator to a sinusoidal driving force as a function of time.
A,B – amplitude; k – spring constant; m – mass, b – damping constant; d – damping parameter; a – angular frequency; W – natural frequency; c – overdamped "frequency"
Underdamped:
Envelope:
Undamped:
Critically damped:
Overdamped:
Full solution:
Driving:
F0 – magnitude of driving force; f – frequency of driving force; X – amplitude of driven oscillation; P – phase of driven oscillation
Steady state:
Envelope top & bottom:
Author: David A. Craig <http://web.lemoyne.edu/~craigda/>
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